Category:Vector Equation of Plane

This category contains pages concerning Vector Equation of Plane:

Let $P$ be a plane which passes through a point $C$ whose position vector relative to the origin $O$ is $\mathbf c$.

Let $\mathbf p$ be the vector perpendicular to $P$ from $O$.

Let $\mathbf r$ be the position vector of an arbitrary point on $P$.

Then $P$ can be represented by the equation:

$\mathbf p \cdot \paren {\mathbf r - \mathbf c} = 0$

where $\cdot$ denotes dot product.